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g1001_1100.s1073_adding_two_negabinary_numbers.readme.md Maven / Gradle / Ivy

1073\. Adding Two Negabinary Numbers

Medium

Given two numbers `arr1` and `arr2` in base **\-2**, return the result of adding them together.

Each number is given in _array format_: as an array of 0s and 1s, from most significant bit to least significant bit. For example, `arr = [1,1,0,1]` represents the number `(-2)^3 + (-2)^2 + (-2)^0 = -3`. A number `arr` in _array, format_ is also guaranteed to have no leading zeros: either `arr == [0]` or `arr[0] == 1`.

Return the result of adding `arr1` and `arr2` in the same format: as an array of 0s and 1s with no leading zeros.

**Example 1:**

**Input:** arr1 = [1,1,1,1,1], arr2 = [1,0,1]

**Output:** [1,0,0,0,0]

**Explanation:** arr1 represents 11, arr2 represents 5, the output represents 16.

**Example 2:**

**Input:** arr1 = [0], arr2 = [0]

**Output:** [0]

**Example 3:**

**Input:** arr1 = [0], arr2 = [1]

**Output:** [1]

**Constraints:**

*   `1 <= arr1.length, arr2.length <= 1000`
*   `arr1[i]` and `arr2[i]` are `0` or `1`
*   `arr1` and `arr2` have no leading zeros